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996240 = 24357593
BaseRepresentation
bin11110011001110010000
31212121120210
43303032100
5223334430
633204120
711316330
oct3631620
91777523
10996240
11620543
12400640
1328b5bb
141bd0c0
1514a2b0
hexf3390

996240 has 80 divisors (see below), whose sum is σ = 3535488. Its totient is φ = 227328.

The previous prime is 996211. The next prime is 996253. The reversal of 996240 is 42699.

996240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 996198 and 996207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1384 + ... + 1976.

2996240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767744).

996240 is an abundant number, since it is smaller than the sum of its proper divisors (2539248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

996240 is a wasteful number, since it uses less digits than its factorization.

996240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 996240 is about 998.1182294698. The cubic root of 996240 is about 99.8745092533.

The spelling of 996240 in words is "nine hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 593 840 1186 1680 1779 2372 2965 3558 4151 4744 5930 7116 8302 8895 9488 11860 12453 14232 16604 17790 20755 23720 24906 28464 33208 35580 41510 47440 49812 62265 66416 71160 83020 99624 124530 142320 166040 199248 249060 332080 498120 996240